103543126360128 has 1344 divisors, whose sum is σ = 388264785592320. Its totient is φ = 25635304341504.

The previous prime is 103543126360123. The next prime is 103543126360189. The reversal of 103543126360128 is 821063621345301.

103543126360128 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 3 + 1 + 2 + 636 + 0 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×103543126360128³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103543126360123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78027977001 + ... + 78027978327.

It is an arithmetic number, because the mean of its divisors is an integer number (288887489280).

Almost surely, 2^{103543126360128} is an apocalyptic number.

103543126360128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103543126360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194132392796160).

103543126360128 is an abundant number, since it is smaller than the sum of its proper divisors (284721659232192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103543126360128 is a wasteful number, since it uses less digits than its factorization.

103543126360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 103543126360128 in words is "one hundred three trillion, five hundred forty-three billion, one hundred twenty-six million, three hundred sixty thousand, one hundred twenty-eight".